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The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the of the triangle?
Wiki User
∙ 11y ago
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle.
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No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
Wiki User
∙ 11y ago
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The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the of the triangle?
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What is the orthocenter of a triangle?
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
The point where the altitudes of the triangle intersect?
the point where the altitudes intersect is called the orthocenter.
What are the characteristics of orthocenter?
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
What are the properties the orthocenter of a triangle?
Construct a scalene triangle and then from each of its vertices draw a straight line that is perpendicular to its opposite side and where these 3 straight lines intersect it is the orthocenter of the triangle. The position of the orthocenter can vary depending on what type of triangle it.
The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle?
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the of the triangle?
sides
The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the?
My daughter's math teacher recommended the following site, which was enormously helpful for her. Here's a link to the 'orthocenter' topic, and you can find a bunch of other math topic videos there. It is all free. Hope it will help.http://www.brightstorm.com/d/math/s/geometry/u/constructions/t/constructing-the-orthocenter
What is the orthocenter of a triangle?
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
The orthocenter of a triangle may lie outside the triangle since?
The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.
The point where the altitudes of the triangle intersect?
the point where the altitudes intersect is called the orthocenter.
What are the characteristics of orthocenter?
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
Which statement about an altitude of a triangle is always true?
An altitude intersects another altitude at the centroid. FALSE - The altitudes intersect at what is called the orthocenter.An altitude intersects another altitude at its midpoint. FALSE - The altitudes will meet at random intersection points.An altitude is present inside a triangle FALSE - The altitude can be outside the triangle.An altitude makes a right angle with a side of the triangle. TRUE - An altitude is the line from a vertex to the opposite side, forming a right angle.
What are the properties the orthocenter of a triangle?
Construct a scalene triangle and then from each of its vertices draw a straight line that is perpendicular to its opposite side and where these 3 straight lines intersect it is the orthocenter of the triangle. The position of the orthocenter can vary depending on what type of triangle it.
Which best describes the orthocenter of a triangle?
A. The point where the three altitudes of the triangle intersect. ~Apex
Is the orthocenter the point shared by the angle bisectors of a triangle?
Sometimes. If the triangle is an equilateral triangle, then yes. If the triangle has two sides of equal length, then the bisector passing through the point connecting the two sides of equal length will share the orthocenter. If all three sides have different lengths, then none of the bisectors of a triangle will share (pass through) the orthcenter.The definition of the orthocenter is:The point where the three altitudes of a triangle intersect. (An altitude is the linefrom a vertex drawn perpendicular to the opposite side.) So an angle bisectordoesn't pass through the orthocenter unless the angle bisector happens tocoincide with the altitude, and that only happens when the triangle is eitherisosceles or equilateral.
Where is the orthocenter in an obtuse triangle?
Hi,The orthocenter in an obtuse triangle is outside. To make this happen the altitude lines have to be extended so they cross.Hope this answers your question!
